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Finding the Third Proportional to 49,008 and 77,643

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Solution

The third proportional to 49,008 and 77,643 is: 123,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,008 : 77,643 = 77,643 : x
  2. Step 2: Convert to fraction form
    49,008/77,643 = 77,643/x
  3. Step 3: Cross multiply
    49,008x = 77,643 × 77,643
  4. Step 4: Simplify right side
    49,008x = 6,028,435,449
  5. Step 5: Solve for x
    x = 6,028,435,449/49,008
  6. Step 6: Final answer
    x = 123,009.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.